Solve 5sqrt(16) + sqrt(81) - sqrt(128) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$5\sqrt{16}+\sqrt{81}-\sqrt{128}$$

Evaluate

$29-8\sqrt{2}\approx 17.686291501$

Solution Steps

Calculate the square root of $16$ and get $4$.

$$5\times 4+\sqrt{81}-\sqrt{128}$$

Multiply $5$ and $4$ to get $20$.

$$20+\sqrt{81}-\sqrt{128}$$

Calculate the square root of $81$ and get $9$.

$$20+9-\sqrt{128}$$

Add $20$ and $9$ to get $29$.

$$29-\sqrt{128}$$

Factor $128=8^{2}\times 2$. Rewrite the square root of the product $\sqrt{8^{2}\times 2}$ as the product of square roots $\sqrt{8^{2}}\sqrt{2}$. Take the square root of $8^{2}$.

$$29-8\sqrt{2}$$